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math.CO2018
Idempotent means on free binary systems do not exist
Justin Tatch Moore
Free binary systems are shown to not admit idempotent means. This refutes a conjecture of the author. It is also shown that the extension of Hindman's theorem to nonassociative bin…
math.CO2011★ 1 cited
Hindman's Theorem, Ellis's Lemma, and Thompson's group
Justin Tatch Moore
The purpose of this article is to formulate conjectural generalizations of Hindman's Theorem and Ellis's Lemma for nonassociative binary systems and relate them to the amenability…